Mathematical inequalities play a key role in understanding a range of problems in various fields of mathematics. Among the most celebrated ones is Hermite-Hadamard (H-H) inequality, which made a great impact not only in mathematics, but also in other related disciplines.
As mentioned by Mitrinović and Lacković [1]}, this inequality was first appeared in the literature through the effort of Hadamard [2]}; however, the result was first discovered by Hermite [3]}. Following this fact, many researchers referred the result as the H-H inequality. This inequality was stated in the monograph of [4]} as the first fundamental result for convex functions defined in the interval of real numbers with a natural geometrical interpretation that can be applied to investigate a variety of problems. Inequalities play important roles in understanding many mathematical concepts, such as probability theory, numerical integration and integral operator theory. Throughout the last century, the H-H type inequalities have been considered among the fast growing fields in mathematical analysis, through which vast problems in engineering, economics and physics have been studied [5]}, [4]}, [7]}. Due to the enormous importance of these inequalities, many extensions, refinements and generalizations of their related types have been equally investigated [8]}, [9]}, [10]}, [11]}.
